On October 18, 2004 MZA presented a short course on Modeling and Simulation of Beam Control Systems at the Directed Energy Professional Society's (DEPS) Seventh Annual Directed Energy Symposium in Rockville, Maryland. Sixteen people attended the course and we received largely positive feedback on the presentation. The course covered a broad range of foundational, numerical, and practical aspects of constructing and analyzing computer simulations of Beam Control Systems (BCS). Of particular interest to wave optics simulationists is a rigorous development of sampling requirements in Parts 2 and 3. The short course materials can be viewed or downloaded here.